Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions

• Autores: Oscar F. Bandtlow, Oliver Jenkinson
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 3, 2008, págs. 902-925
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.02.005
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• Resumen

  • We consider transfer operators acting on spaces of holomorphic functions, and provide explicit bounds for their eigenvalues. More precisely, if O is any open set in , and is a suitable transfer operator acting on Bergman space A2(O), its eigenvalue sequence is bounded by , where a,A>0 are explicitly given